Cyclic Branched Coverings Over Some Classes of (1,1)-Knots | Zendy

Agnese Ilaria Telloni | Zendy

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Cyclic Branched Coverings Over Some Classes of (1,1)-Knots

Author(s) -

Agnese Ilaria Telloni

Publication year - 2013

Publication title -

geometry

Language(s) - English

Resource type - Journals

eISSN - 2314-4238

pISSN - 2314-422X

DOI - 10.1155/2013/549198

Subject(s) - mathematics , torus , combinatorics , boundary (topology) , extension (predicate logic) , construct (python library) , connected sum , pure mathematics , geometry , simply connected space , mathematical analysis , computer science , programming language

We construct a 4-parametric family of combinatorial closed 3-manifolds, obtained by glueing together in pairs the boundary faces of polyhedral 3-balls. Then, we obtain geometric presentations of the fundamental groups of these manifolds and determine the corresponding split extension groups. Finally, we prove that the considered manifolds are cyclic coverings of the 3-sphere branched over well-specified -knots, including torus knots and Montesinos knots

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